Strong Convergence of Iterative Algorithms for a Class of Generalized Variational Inequality Problems in Banach Spaces

doi:10.3969/j.cnki.jdxb.2017.04.003

Abstract

Abstract:

In this paper，we disscuss a class of generalized variational inequality problems involved in strictly pseudo-contractive mapping in Banach spaces by using some new algorithms which couple modified extra-gradient method with extended Mann iteration.It is proved that the sequences generated by the proposed iterative algorithms converge strongly to the solution of the generalized variational inequality problem.The results presented in this paper extend and improve some well-known results in the literature.

Key words: extra-gradient method, generalized variational inequality problems, iterative algorithm, strong convergence

ZENG Yan，CHEN Guoping. Strong Convergence of Iterative Algorithms for a Class of Generalized Variational Inequality Problems in Banach Spaces[J]. Journal of Jishou University（Natural Sciences Edition), DOI: 10.3969/j.cnki.jdxb.2017.04.003.

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